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Finding the Fourth Proportional to 11,774.40, 17,670.24 and 5,935.20

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Solution

The fourth proportional to 11,774.40, 17,670.24 and 5,935.20 is: 8,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.40 : 17,670.24 = 5,935.20 : x
  2. Step 2: Convert to fraction form
    11,774.40/17,670.24 = 5,935.20/x
  3. Step 3: Cross multiply
    11,774.40x = 17,670.24 × 5,935.20
  4. Step 4: Simplify right side
    11,774.40x = 104,876,408.45
  5. Step 5: Solve for x
    x = 104,876,408.45/11,774.40
  6. Step 6: Final answer
    x = 8,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.